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102031713300120 = 233553149910702283
BaseRepresentation
bin10111001100110000011100…
…000001101110111010011000
3111101021010200112022221112220
4113030300130001232322120
5101333141422101100440
61001000415541504040
730330355654224252
oct2714603401567230
9441233615287486
10102031713300120
112a5684522187aa
12b53a51a412020
1344c171a9c7656
141b2a50b494cd2
15bbe12ba058d0
hex5ccc1c06ee98

102031713300120 has 128 divisors (see below), whose sum is σ = 312078601440000. Its totient is φ = 26677278677504.

The previous prime is 102031713300119. The next prime is 102031713300151. The reversal of 102031713300120 is 21003317130201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4182499 + ... + 14884781.

It is an arithmetic number, because the mean of its divisors is an integer number (2438114073750).

Almost surely, 2102031713300120 is an apocalyptic number.

102031713300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031713300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156039300720000).

102031713300120 is an abundant number, since it is smaller than the sum of its proper divisors (210046888139880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102031713300120 is a wasteful number, since it uses less digits than its factorization.

102031713300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703849 (or 10703845 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 102031713300120 in words is "one hundred two trillion, thirty-one billion, seven hundred thirteen million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1499 1590 2120 2998 3180 4497 5996 6360 7495 8994 11992 14990 17988 22485 29980 35976 44970 59960 79447 89940 158894 179880 238341 317788 397235 476682 635576 794470 953364 1191705 1588940 1906728 2383410 3177880 4766820 9533640 10702283 21404566 32106849 42809132 53511415 64213698 85618264 107022830 128427396 160534245 214045660 256854792 321068490 428091320 567220999 642136980 1134441998 1284273960 1701662997 2268883996 2836104995 3403325994 4537767992 5672209990 6806651988 8508314985 11344419980 13613303976 16042722217 17016629970 22688839960 32085444434 34033259940 48128166651 64170888868 68066519880 80213611085 96256333302 128341777736 160427222170 192512666604 240640833255 320854444340 385025333208 481281666510 641708888680 850264277501 962563333020 1700528555002 1925126666040 2550792832503 3401057110004 4251321387505 5101585665006 6802114220008 8502642775010 10203171330012 12753964162515 17005285550020 20406342660024 25507928325030 34010571100040 51015856650060 102031713300120